Technical communique: Finite-time output stabilization with second order sliding modes

Authors:
Francesco Dinuzzo;Antonella Ferrara
Affiliations:
Department of Mathematics, University of Pavia, Via Ferrata, 1, 27100 Pavia, Italy;Department of Computer Engineering and Systems Science, University of Pavia, Via Ferrata, 1, 27100 Pavia, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

In this note, a class of discontinuous feedback laws that switch over branches of parabolas in the auxiliary state plane is analyzed. Conditions are provided under which controllers belonging to this class are second order sliding-mode algorithms: they ensure uniform global finite-time output stability for uncertain systems of relative degree two.